Events A and C are independent. If the probabilities relating A, B, and C are P(A) = 1/5, P(B) = 1/6; P(A∩C)=1/20; P(B∪C)=3/8. Then
events B and C are independent
events B and C are mutually exclusive
events B and C are neither independent nor mutually exclusive
events B and C arc equiprobable
P(A∩C)=P(A)P(C)
or 120=15P(C)
or P(C)=14
Now,
P(B∪C)=16+14−P(B∩C)
P(B∩C)=512−38=124P(B)P(C)
Therefore, B and C are independent.